WHRHS
2014-2015
Unit 1 – Linear Equations & Inequalities
Algebra 2CP
Solving Linear Inequalities ~ Day B
Method to Solve Linear Inequalities:
GOAL(for solving equations & inequalities) – Solve for x (or whatever your variable is)
PLAN – Get x by itself on the left side of the inequality using all the rules you
know. Check your solution.
RULES You Can Use (to implement your plan)
You already use them & don’t even realize it!
*Remember PEMDAS
(Remember you reverse the inequality sign when you
multiply or divide by a negative number)
Solve the inequalities below. Leave your answers as simplified fractions or
improper fractions (ie
21
) when necessary. Use Set, Interval & Graphing
4
Notation to show your answer.
Graph the following:
1. x  6
2. x  3
3. x  2
4. x  5
WHRHS
2014-2015
Unit 1 – Linear Equations & Inequalities
Algebra 2CP
Two special notations:
5. x  5
Interval Notation
Set-Builder Notation
Solve and graph each linear inequality. Write your answer using both notations.
6. 3x  4  2x  1
Interval Notation:
Set-Builder Notation:
7. 2  7 x  16
Interval Notation:
Set-Builder Notation:
8. x  3  4x  6
Interval Notation:
Set-Builder Notation:
WHRHS
2014-2015
Unit 1 – Linear Equations & Inequalities
Algebra 2CP
9. 6x  1  4x  3
Interval Notation:
Set-Builder Notation:
10. 3 x  7   12
Interval Notation:
Set-Builder Notation:
11. 2x  5  10x  5  x  2
Interval Notation:
Set-Builder Notation:
12. 2  5 x  1  3 x  1  8
Interval Notation:
Set-Builder Notation:
WHRHS
2014-2015
13.
Unit 1 – Linear Equations & Inequalities
Algebra 2CP
1
 x  3  5
2
Interval Notation:
Set-Builder Notation:
14.
2
1 5
x 
3
6 6
Interval Notation:
Set-Builder Notation:
15.
3
3
x2
x
5
10
Interval Notation:
Set-Builder Notation:
16. 2  3 x  5  
2
x
3
Interval Notation:
Set-Builder Notation:
WHRHS
2014-2015
17.
Unit 1 – Linear Equations & Inequalities
Algebra 2CP
4
3
x  1
5
10
Interval Notation:
Set-Builder Notation:
18.
3
1 5
x  x
4
2 4
Interval Notation:
Set-Builder Notation:
19. 2  x  3  7 x  8
Interval Notation:
Set-Builder Notation:
WHRHS
2014-2015
Unit 1 – Linear Equations & Inequalities
Algebra 2CP
Unit 1 Day B HW - Solve, graph, and write your answers in both notations.
1. 6x  3  4x  1
Interval Notation:
Set-Builder Notation:
2. 8x  1  2x  13
Interval Notation:
Set-Builder Notation:
3. 7  2x  1
Interval Notation:
Set-Builder Notation:
4. 4x  2  x  11
Interval Notation:
Set-Builder Notation:
WHRHS
2014-2015
Unit 1 – Linear Equations & Inequalities
Algebra 2CP
5. x  7  4  x  2
Interval Notation:
Set-Builder Notation:
6. 6  2  x  4  2 x  10
Interval Notation:
Set-Builder Notation:
7.
3
2 3
x 
5
5 10
Interval Notation:
Set-Builder Notation:
8.
4
1
1
x   x3
5
2
5
Interval Notation:
Set-Builder Notation: